Question 96

Ashima sold two coolers for Rs. 3990 each. On selling one cooler she gained 5% and on selling the other she suffered a loss of 5%. Find her overall gain or loss % in whole transaction.

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Solution

Selling price of each cooler = Rs. 3990
Let Rs. x be the cost price of both coolers for Ashime.
If Ashima gets 5% gain on transaction of first cooler.
Then, $3990 = x + x \times \frac{5}{100} [∵ p r o f i t = S P - C P] \Rightarrow 3990 = \frac{21 x}{20} \Rightarrow x = \frac{3990 \times 20}{21} = 190 \times 20 = R s . 3800$
Also, on the another transaction of other cooler she has a loss of 5%.
Then, 3990 = $x - \frac{x \times 5}{100}$ [ $∵$ loss = CP - SP]
$\Rightarrow 3990 = \frac{19 x}{20} \Rightarrow x = \frac{3990 \times 20}{19} = 210 \times 20 = R s . 4200$
So, the total cost price for Ashima = Rs. 3800 + Rs. 4200 = Rs. 8000
Ashima sold both coolers =Rs. 3990 $\times$ 2 = Rs. 7980
Here, CP > SP. So, Ashima has loss on overall transaction.
$∵$ Loss = Rs. 8000 - Rs. 7980 = Rs. 20
$∴$ Loss % = $\frac{20}{8000} \times 100 = \frac{2000}{8000} = \frac{1}{4} % = 0.25 %$

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Question 96 Ashima sold two coolers for Rs. 3990 each. On selling one cooler she gained 5% and on selling the other she suffered a loss of 5%. Find her overall gain or loss % in whole transaction.

Question 96

Ashima sold two coolers for Rs. 3990 each. On selling one cooler she gained 5% and on selling the other she suffered a loss of 5%. Find her overall gain or loss % in whole transaction.